Answer:
[tex]x = 9[/tex]
[tex]y = 17[/tex]
Step-by-step explanation:
This is a cyclic quadralterial so opposite angles are supplementary.
The x variables add up to 180 so
[tex]11x + 8 + 8x + 1 = 180[/tex]
[tex]19x + 9 = 180[/tex]
[tex]19x = 171[/tex]
[tex]x = 9[/tex]
The y variables add up to 180.
[tex]6y - 4 + 5y - 3 = 180[/tex]
[tex]11y - 7 = 180[/tex]
[tex]11y = 187[/tex]
[tex]y = 17[/tex]
